Question

Find the quantity of water in liters in a hemispherical bowl of radius $21\text{cm}$. The bowl is completely filled with water. (Take $\pi =\frac{22}{7}$)

• A. $19.404\text{liters}$
• B. $16.141\text{liters}$
• C. $22.254\text{liters}$
• D. $18.204\text{liters}$

Answer 1

The correct option is A $19.404\text{liters}$

Radius of hemispherical bowl is equal to $21\text{cm}.$

$\begin{array}{cc}\text{Volume of bowl}& =\frac{2}{3}\pi r^3\\ & =\frac{2}{3}\times \frac{22}{7}\times 21\times 21\times 21\\ & =19404{\text{cm}}^3\end{array}$

Therefore,

$\begin{array}{cc}19404{\text{cm}}^3& =\frac{19404}{1000}\text{litre}\\ & =19.404\text{litre}\end{array}$